A pipe having an axially extending bore defined by a smooth inner wall fused to a corrugated outer wall is provided. The corrugated outer wall has axially adjacent, annular, outwardly-extending crests separated by valleys. The pipe further includes an outer layer fused to the outer wall, the outer layer having adjacent concave portions and convex portions, the concave portions being aligned with corrugation valleys of the outer wall so that each concave portion of the outer layer extends between at least two corrugation crests. A method of improving the resistance to deformation of a corrugated pipe having a smooth inner wall fused to an outer wall defined by annular crests and valleys is also provided.